Graph the function y = lx-1l+2

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The function y = |x - 1| + 2

|x - 1| = x - 1 for x - 1 `>=0` or x `>=` 1

For `x >= 1` , y = x - 1 + 2 = x + 1

|x - 1| = 1 - x for x - 1 < 0 or x < 1

For x < 1, y = 1 - x + 2 = 3 - x

The graph of the function is :

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